The table shows the number of suitcases possessed by a group of travellers.

(a) Calculate the (i) median (ii) mean, correct to the nearest whole number.

(b) Draw a bar chart to represent the information.

(a) Simplify : \(\frac{\frac{1}{3}c^{2} - \frac{2}{3}cd}{\frac{1}{2}d^{2} - \frac{1}{4}cd}\)

(b) 

In the diagram, YPF is a straight line. < XPY = 44°, < MPF = 46°, < XYP = < MFP = 90°, /XY/ = 7cm and /MP/ = 9 cm. 

(i) Calculate, correct to 3 significant figures, /XM/ and /YF/ ; (ii) Find < XMP.

The table shows the monthly contributions and expenditure pattern of an employee in 1999.

(a) Draw a pie chart to illustrate the data.

(b) If the employee's gross monthly salary was N10,800.00, calculate (i) the pension contribution of the employee ; (ii) the income tax paid by the employee.

(c) If the pension contribution and income tax were deducted from the gross monthly salary, before payment, calculate the take- home pay of the employee.

(a) A = {1, 2, 5, 7} and B = {1, 3, 6, 7} are subsets of the universal set U = {1, 2, 3,...., 10}. Find (i) \(A'\) ; (ii) \((A \cap B)'\) ; (iii) \((A \cup B)'\) ; (iv) the subsets of B each of which has three elements.

(b) Write down the 15th term of the sequence, \(\frac{2}{1 \times 3}, \frac{2}{2 \times 4}, \frac{4}{3 \times 5}, \frac{5}{4 \times 6},...\).

(c) An Arithmetic Progression (A.P) has 3 as its first term and 4 as the common difference, (i) write an expression in its simplest form for the nth term ; (ii) find the least term of the A.P that is greater than 100.

The marks obtained by 40 students in an examination are as follows :

85 77 87 74 77 78 79 89 95 90 78 73 86 83 91 74 84 81 83 75 77 70 81 69 75 63 76 87 61 78 69 96 65 80 84 80 77 74 88 72.

(a) Copy and complete the table for the distribution using the above data.

(b) Draw a histogram to represent the distribution.

(c) Using your histogram, estimate the modal mark.

(d) If a student is chosen at random, find the probability that the student obtains a mark greater than 79.